Calculator Quadrilateral ABCD is inscribed in a circle. What is the measure of angle A? Enter your answer in the box. m/A= D C A (2x+9) (3x + 1) 1 2 3 4 B 5 6
Calculator Quadrilateral ABCD is inscribed in a circle. What is the measure of angle A? Enter your answer in the box. m/A= D C A (2x+9) (3x + 1) 1 2 3 4 B 5 6
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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![### Geometry Problem: Inscribed Quadrilateral
#### Problem Statement:
A quadrilateral \(ABCD\) is inscribed in a circle.
#### Question:
What is the measure of angle \(A\)?
#### Instructions:
Enter your answer in the box provided.
#### Input Box:
\[ \text{m}\angle A = \, \_\_\deg \]
#### Diagram Description:
- The inscribed quadrilateral \(ABCD\) is depicted within a circle.
- The vertices of the quadrilateral \(A, B, C,\) and \(D\) lie on the circumference of the circle.
- Angle \(\angle DAB\) is represented by the expression \((2x + 9)^\circ\).
- Angle \(\angle BCD\) is represented by the expression \((3x + 1)^\circ\).
Given these descriptions, students are to find the measure of angle \(A\), using appropriate geometric properties.
#### Note:
Inscribe quadrilateral properties stipulate that opposite angles of a cyclic quadrilateral sum up to \(180^\circ\). Use this property to set up an equation and solve for \(x\) in order to find the measure of angle \(A\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b717370-ac2a-4449-94d5-6954bef42bac%2F3ff7fd4f-2c15-4cb4-a806-86310035c32a%2F4dpd86_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Geometry Problem: Inscribed Quadrilateral
#### Problem Statement:
A quadrilateral \(ABCD\) is inscribed in a circle.
#### Question:
What is the measure of angle \(A\)?
#### Instructions:
Enter your answer in the box provided.
#### Input Box:
\[ \text{m}\angle A = \, \_\_\deg \]
#### Diagram Description:
- The inscribed quadrilateral \(ABCD\) is depicted within a circle.
- The vertices of the quadrilateral \(A, B, C,\) and \(D\) lie on the circumference of the circle.
- Angle \(\angle DAB\) is represented by the expression \((2x + 9)^\circ\).
- Angle \(\angle BCD\) is represented by the expression \((3x + 1)^\circ\).
Given these descriptions, students are to find the measure of angle \(A\), using appropriate geometric properties.
#### Note:
Inscribe quadrilateral properties stipulate that opposite angles of a cyclic quadrilateral sum up to \(180^\circ\). Use this property to set up an equation and solve for \(x\) in order to find the measure of angle \(A\).
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